Find k, if the roots of the quadratic equation kx² - 4x +4=0 are equation.
Answers
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Step-by-step explanation:
k
=
9
Explanation:
Notice that:
(
a
x
+
b
)
2
=
a
2
x
2
+
2
a
b
+
b
2
Equating this with
k
x
2
−
24
x
+
16
we find:
⎧
⎪
⎨
⎪
⎩
a
2
=
k
2
a
b
=
−
24
b
2
=
16
So
k
=
a
2
=
(
−
24
2
b
)
2
=
12
2
b
2
=
144
16
=
9
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